NORM.DIST DAX Function (Statistical)

Returns the normal distribution for the specified mean and standard deviation.

Syntax

NORM.DIST ( <X>, <Mean>, <Standard_dev>, <Cumulative> )
Parameter Attributes Description
X

The value for which you want the distribution.

Mean

The arithmetic mean of the distribution.

Standard_dev

The standard deviation of the distribution.

Cumulative

A logical value that determines the form of the function. If cumulative is TRUE, NORM.DIST returns the cumulative distribution function; if FALSE, it returns the probability mass function.

Return values

Scalar A single decimal value.

The normal distribution for the specified mean and standard deviation.

» 3 related functions

Examples

--  NORM.DIST returns the normal distribution for the 
--  specified mean and standard deviation
--
--      NORM.DIST ( Value, Mean, StandardDev, Cumulative )
--
--  NORM.S.DIST returns the standard normal distribution
--  (has a mean of zero and a standar deviation of one)
--
--  https://en.wikipedia.org/wiki/Normal_distribution
DEFINE
    TABLE SampleData    = { 2, 4, 4, 4, 5, 5, 7, 9 }
    VAR Mean            = AVERAGE ( SampleData[Value] )
    VAR StandardDev     = STDEV.S ( SampleData[Value] )
    VAR Vals            = GENERATESERIES ( 0.0, 10, 0.5 )
    VAR CumulativeTrue  = TRUE   -- Cumulative distribution function
    VAR CumulativeFalse = FALSE  -- Probability density function
EVALUATE
ADDCOLUMNS ( 
    Vals, 
    "Normal Distr.",             -- Probability density function
        FORMAT ( 
            NORM.DIST ( [Value], Mean, StandardDev, CumulativeFalse ),
            "#,0.00000"
        ),
    "Normal Distr. Cumulative",  -- Cumulative distribution function
        FORMAT ( 
            NORM.DIST ( [Value], Mean, StandardDev, CumulativeTrue ),
            "#,0.00000"
        ),
    "Normal Std. Distr.",        -- Cumulative distribution function
        FORMAT ( 
            NORM.S.DIST ( [Value], CumulativeFalse ),
            "#,0.00000"
        ),
    "Normal Std. Distr. Cumulative", -- Cumulative distribution function
        FORMAT ( 
            NORM.S.DIST ( [Value], CumulativeTrue ),
            "#,0.00000"
        )        
)
Value Normal Distr. Normal Distr. Cumulative Normal Std. Distr. Normal Std. Distr. Cumulative
0.00 0.01212 0.00968 0.39894 0.50000
0.50 0.02037 0.01766 0.35207 0.69146
1.00 0.03242 0.03068 0.24197 0.84134
1.50 0.04886 0.05082 0.12952 0.93319
2.00 0.06972 0.08029 0.05399 0.97725
2.50 0.09419 0.12115 0.01753 0.99379
3.00 0.12047 0.17479 0.00443 0.99865
3.50 0.14588 0.24148 0.00087 0.99977
4.00 0.16726 0.32000 0.00013 0.99997
4.50 0.18156 0.40755 0.00002 1.00000
5.00 0.18659 0.50000 0.00000 1.00000
5.50 0.18156 0.59245 0.00000 1.00000
6.00 0.16726 0.68000 0.00000 1.00000
6.50 0.14588 0.75852 0.00000 1.00000
7.00 0.12047 0.82521 0.00000 1.00000
7.50 0.09419 0.87885 0.00000 1.00000
8.00 0.06972 0.91971 0.00000 1.00000
8.50 0.04886 0.94918 0.00000 1.00000
9.00 0.03242 0.96932 0.00000 1.00000
9.50 0.02037 0.98234 0.00000 1.00000
10.00 0.01212 0.99032 0.00000 1.00000

Related functions

Other related functions are:

Last update: Apr 2, 2021   » Contribute   » Show contributors

Contributors: Alberto Ferrari, Marco Russo

Microsoft documentation: https://docs.microsoft.com/en-us/dax/norm-dist-dax

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Context Transition

This function performs a Context Transition if called in a Row Context. Click to read more.

Row Context

This expression is executed in a Row Context. Click to read more.

Iterator

Not recommended

The use of this function is not recommended. See Remarks and Related functions for alternatives.

Not recommended

The use of this parameter is not recommended.

Deprecated

This function is deprecated. Jump to the Alternatives section to see the function to use.

Deprecated

This parameter is deprecated and its use is not recommended.

DirectQuery compatibility

Limitations are placed on DAX expressions allowed in measures and calculated columns.
The state below shows the DirectQuery compatibility of the DAX function.

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